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Finding the Fourth Proportional to 3,523.44, 5,284.08 and 3,024.96

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Solution

The fourth proportional to 3,523.44, 5,284.08 and 3,024.96 is: 4,536.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.44 : 5,284.08 = 3,024.96 : x
  2. Step 2: Convert to fraction form
    3,523.44/5,284.08 = 3,024.96/x
  3. Step 3: Cross multiply
    3,523.44x = 5,284.08 × 3,024.96
  4. Step 4: Simplify right side
    3,523.44x = 15,984,130.64
  5. Step 5: Solve for x
    x = 15,984,130.64/3,523.44
  6. Step 6: Final answer
    x = 4,536.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.